Given numbers are 746,326,431,400,284

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 746,326,431,400,284 is 744204079600.

Find LCM of 746,326,431,400,284 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 373 x 163 x 431 x 100 x 71 = 744204079600

Therefore, the lowest common multiple of 746,326,431,400,284 is 744204079600.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

746 x 326 x 431 x 400 x 284 = 11907265273600

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

746 : 1, 2, 373, 746

326 : 1, 2, 163, 326

431 : 1, 431

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,326,431,400,284, is 1.

Now, the common factors can be found like this.

746:2x 373

326:2x 163

431:431

400:2x 2x 2x 2x 5x 5

284:2x 2x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 11907265273600/(1x16)

LCM = 11907265273600/16

LCM = 744204079600

Thus, we can understand that the LCM of 746,326,431,400,284 is 744204079600.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 376, 377, 564, 599, 267
• LCM of 241, 462, 563, 497, 986
• LCM of 966, 684, 596, 420, 136
• LCM of 611, 627, 627, 624, 724
• LCM of 834, 889, 358, 604, 715

1. What is the LCM of 746, 326, 431, 400, 284?

Answer: LCM of 746, 326, 431, 400, 284 is 744204079600.

2. How to calculate the LCM of 746, 326, 431, 400, 284?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 746, 326, 431, 400, 284.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.